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Finding the Third Proportional to 270,435.75 and 420,399

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Solution

The third proportional to 270,435.75 and 420,399 is: 653,520.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,435.75 : 420,399 = 420,399 : x
  2. Step 2: Convert to fraction form
    270,435.75/420,399 = 420,399/x
  3. Step 3: Cross multiply
    270,435.75x = 420,399 × 420,399
  4. Step 4: Simplify right side
    270,435.75x = 176,735,319,201
  5. Step 5: Solve for x
    x = 176,735,319,201/270,435.75
  6. Step 6: Final answer
    x = 653,520.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.